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Polynomial Fucntion Problem

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Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem?

Find an nth degree polynomial function with real coefficients satisfying the given conditions.

1. n=3; 3 and i are zeros; f(2)=20

my answer choices are:
a. f(x)=-4^3+12x^2-4x+12

  • Polynomial Fucntion Problem -

    I already gave you a function that worked. There are others that also work. Since this is multiple choice, just plug in the numbers 1, 2 and 3 into each equation and see which one satisfies the three conditions. (b) does not satisfy the f(1) = 0 condition, for example.

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